The perimeter of a rectangle is 212. The length is 16 more than 5 times the width.

Answers

Answer 1

Answer: Length is 15 and width is 91

Step-by-step explanation:

If the length is 16 more than 5 times the width, that means:

let's say

x=length

y=width

2x+2y=212

If the length is 16 more times than 5 times the width, that means

y=5x+16

now we can substitute all y's for 5x+16:

 2x+(5x+16)2=212

=2x+10x+32=212

=12x+32=212

=12x=180

x=15

If the length is 15, the width is

15*2+2y=212

=30+2y=212

=182/2

y=91

Answer 2

Answer:

width 91 length 15

Step-by-step explanation:

2l+2w=212

l=5w+16

2l+2w=212, l=5w+16

substitute

2(5w+16)+2w=212

12w+32=212

12w=180

w=15

L=5w+16

L=5(15)+16

L=91


Related Questions

Solve the inequality 5y + 4 < 3y + 17

Answers

Answer:

y<13/2

Step-by-step explanation:

5y + 4 < 3y + 17

5y-3y<-4+17

2y<13

y<13/2

Answer:

y<6.5

Step-by-step explanation:

5y+4<3y+17

Subtract 3 from both sides

2y+4<17

Subtractc4 from both sides

2y<13

Divide both sides by 2

y<6.5

pleaseeeeeeeeeeeeeeeeeeeeee help me i'm begging you so the questions is what is the multiplicative of 5 and 10-5k

Answers

Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

2(x+7)=-4x+14

Solve this for 15 points.

Answers

First, use the distribution property on the left side.
2x + 14 = 4x + 14
Then, isolate both sides so that like terms are on either sides. Subtract 2x from both sides to move x to the right side and subtract 14 from both sides to move the numbers to the left side.
0 = 2x
Lastly, divide by 2 on both sides to find x.
0 = x

I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!

Answers

Answer:

Step-by-step explanation:

An equation y = kx represent a proportional relation and k = [tex]\frac{y}{x}[/tex]

⊕ Yes, the constant of proportionality is 3.5

The slope of the line is ?

Answers

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?

Answers

Answer:

probability that student passes = 0.7815

Step-by-step explanation:

Given:

Student studies = 85% = 0.85

Student not study = 11% = 0.11

Student who pass = 90% = 0.90

Computation:

P(student not pass) = 1 - 0.85

P(student not pass) = 0.15

probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)

probability that student passes = (0.85)(0.90) + (0.15)(0.11)

probability that student passes = 0.765 + 0.0165

probability that student passes = 0.7815

Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.

The percentages associated with passing the test are given by:

90% of 85%(student studies for the test).11% of 15%(student does not study for the test).

Hence, adding these percentages:

[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]

0.7815 x 100% = 78.15%

There is a 0.7815 = 78.15% probability that student passes.

A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993

4
Find the y-intercept of the line shown on the coordinate plane.
11

Answers

Your answer is 4.

The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.

Please help ASAP due soon I need help

Answers

Answer:  18

Step-by-step explanatio    18

Penny used to drive 3.36 miles to school. Then, she moved 1.29 miles closer to
school. How far does Penny have to drive to school now?
о

Answers

Answer:

I think the answer is 2.07

The answer is 2.07 if your wondering how to get that answer line the decimals up and put the bigger number on top and subtract :) don’t got get the decimal when you get the answer.

Please help!! Time is almost up and I’m having trouble with this question. Giving 20 points

Answers

It’s the third one for this question

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

Answers

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

[tex] d*sin(\theta) = m\lambda [/tex]

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]

Now, to produce a second-order maximum (m=2) the angle must be:

[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]

[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

-2x + y = 1
7x - y = -1

Answers

-8x+y

9-y

this is the answer because it is

Answer:

i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions

Step-by-step explanation:

first equation:

y=2x+1

x intercept:(-1/2,0)

y intercept: (0,1)

second equation:

y=7x+1

x intercept:(-1/7,0)

y intercept: (0,1)

hope this helps pls mark brainliest this took me a long time to do :)

Please help with this

Answers

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

What is the LMC of 10 and 8

Answers

Answer:

The LCM of 10 and 8 is 40.

Hope I helped :)

Least common multiple would be (LCM) of 8 and 10 is 40.

Trina was playing with her new puppy last night. She began to
think about what she had read in a book about dogs. It said that
for every year a dog lives it actually is the same as 7 human
years. She looked at her 4-1/2 month-old puppy and wondered
how many human years old her puppy was?
Using as much math language and good reasoning as you can,
figure out how many human years old Trinajs puppy is?

Answers

Answeep-by-step explanation:

he was 76

jk i am stupid and this is nit the right i just wanted to know how t felt to help someone

I think it’s is 30yrs

A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.

Answers

Answer: The estimate is 200

Step-by-step explanation:

The exact amount would be 204 teddy bears, but you would it down to 200.

80+300????????????????​

Answers

Answer:

380

Step-by-step explanation:

300+80=380

Hope that helped.

Work out the product of 3 1/3 and 2 1/6
Give your answer as a mixed number.​

Answers

Answer:

as a mized number.

Step-by-step explanation:

The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

The fractions are,

⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]

Now,

Solve the product of fractions as;

⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]

⇒ [tex]3 \frac{1}{3}[/tex] × [tex]2 \frac{1}{6}[/tex]

⇒  10/3 x 13/6

⇒ 65/9

⇒  [tex]7 \frac{2}{9}[/tex].

Thus, The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].

Learn more about the fraction visit:

https://brainly.com/question/78672

#SPJ2

Al cuadrado de un número se lo aumenta en 7 unidades y se obtiene el número 56.
¿Cuál es dicho número?

Answers

Answer:

Hola, me no Espanol.

Step-by-step explanation:

What is the sum of –356.1 + 258.6? –614.7 –97.5 97.5 614.7

Answers

Answer:

The answer is -97.5

Answer:

-97.5

Step-by-step explanation:

um yas

twice the square of a number

Answers

Answer:

2 * x^2

Step-by-step explanation:

in word form: two times the square of x

"a number" can be any variable; i used x

Answer:

x² × 2

Step-by-step explanation:

Notice vocabulary:

twice → multiplication by a factor of two → ×2a number → unknown number; variable → xthe square → raised to the power of two →

Put this information together.

"Twice the square of a number"

Since it says of a number, this number comes first → [tex]x[/tex]

"Twice the square of a number"

The square of a number means that the variable will be squared → [tex]x^2[/tex]

"Twice the square of a number"

Multiply the variable by a factor of two → [tex]x^2*2[/tex]

:Done

what is the solution of the proportion 22/11 = r/13

Answers

Answer:

r=26

Step-by-step explanation:

22/11=r/13

11r=286

r=26

A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?

Answers

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

x = ? ..................................​

Answers

Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

What is the area of the right triangle shown below?
1.5
2.5

Answers

Answer:

Hello! The answer is 1.5

The area of the given right-angle triangle will be 1.5 unit².

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the tringle with,

Base =1.5 unit

Hypotaneous = 2.5 unit

By Pythagoras theorem

Perpendicular² = (Hypo² - Base²)

Perpendicular² =  2.5² - 1.5²

Perpendicular = 2 units.

Now the area of the right-angle triangle is

⇒  (1/2) × base × height.

Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²

Hence the area of the given triangle will be 1.5 unit².

For more information about triangle

https://brainly.com/question/2773823

#SPJ2

Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick

Answers

Answer:

Option (4)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the function.

Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.

From the graph attached,

Domain is restricted to 0 ≤ x ≤ 8.

Therefore, Range will be 0 ≤ y ≤ 4.

Option (4) will be the answer.

a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed

Answers

Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)

The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,

F = p cos(20º) - w sin(30º) - f = 0

We're given p = 75 N, and

w = m g = (25 kg) (9.80 m/s²)

so

f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)

f ≈ -52 N

That the magnitude is negative makes me think there's a mistake in the question.

Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:

A. .500

B. .159

C. .341

D. .841

Answers

Answer:

125 is 1 dev above, so it's  13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136

pls answer this yall
2a-1+8b-12b+7a-12

Answers

2a+7a+8b-12b-12-1 9a-4b-13

Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.

Answers

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

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